TY - JOUR
T1 - Localized Low-Rank Promoting for Recovery of Block-Sparse Signals with Intrablock Correlation
AU - Yang, Linxiao
AU - Fang, Jun
AU - Li, Hongbin
AU - Zeng, Bing
N1 - Publisher Copyright:
© 1994-2012 IEEE.
PY - 2016
Y1 - 2016
N2 - We consider the problem of recovering block-sparse signals with intrablock correlated entries. The block partition of the sparse signal is assumed unknown a priori. To exploit the block-sparse structure as well as the local smoothness of the sparse signal, consecutive coefficients of the sparse signal are organized into a number of 2× 2 matrices, and the log-determinant function is used to promote the low rankness of these 2×2 matrices. We show that such a log-determinant function has the ability to promote the block-sparsity and local smoothness simultaneously. An iterative reweighted method is developed by iteratively minimizing a surrogate function of the original objective function. Simulation results show that our proposed method offers competitive performance for recovering block-sparse signals with intrablock correlated entries.
AB - We consider the problem of recovering block-sparse signals with intrablock correlated entries. The block partition of the sparse signal is assumed unknown a priori. To exploit the block-sparse structure as well as the local smoothness of the sparse signal, consecutive coefficients of the sparse signal are organized into a number of 2× 2 matrices, and the log-determinant function is used to promote the low rankness of these 2×2 matrices. We show that such a log-determinant function has the ability to promote the block-sparsity and local smoothness simultaneously. An iterative reweighted method is developed by iteratively minimizing a surrogate function of the original objective function. Simulation results show that our proposed method offers competitive performance for recovering block-sparse signals with intrablock correlated entries.
KW - Block-sparse signal
KW - compressed sensing
KW - intrablock correlation
KW - localized low-rank promoting
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U2 - 10.1109/LSP.2016.2599525
DO - 10.1109/LSP.2016.2599525
M3 - Article
AN - SCOPUS:84986218171
SN - 1070-9908
VL - 23
SP - 1399
EP - 1403
JO - IEEE Signal Processing Letters
JF - IEEE Signal Processing Letters
IS - 10
M1 - 7542130
ER -